Electron Density using Average Electron Density and Spill-out Amplitude Calculator

Chemistry Engineering Financial Health More >>

↳

Nanomaterials and Nanochemistry Analytical chemistry Atmospheric Chemistry Atomic structure More >>

⤿

Optical Properties of Metallic Nanoparticles Electronic Structure in Clusters and Nanoparticles Magnetism in Nanomaterials Mechanical and Nanomechanical Properties More >>

✖The Average Electron Density is the average of total density of electrons present in a bulk material.ⓘ Average Electron Density [n_e-avg]			+10% -10%
✖The Spill Out Amplitude is the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice.ⓘ Spill Out Amplitude [d_so]			+10% -10%
✖The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.ⓘ Nanoparticle Diameter [D]			+10% -10%

✖The Electron Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point.ⓘ Electron Density using Average Electron Density and Spill-out Amplitude [n_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Chemistry Formula PDF PDF Image

Electron Density using Average Electron Density and Spill-out Amplitude Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter))
n_e = n_e-avg/(1-(3*d_so/D))
This formula uses 4 Variables

Variables Used

Electron Density - The Electron Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point.
Average Electron Density - The Average Electron Density is the average of total density of electrons present in a bulk material.
Spill Out Amplitude - (Measured in Meter) - The Spill Out Amplitude is the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice.
Nanoparticle Diameter - (Measured in Meter) - The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.

STEP 1: Convert Input(s) to Base Unit

Average Electron Density: 50 --> No Conversion Required
Spill Out Amplitude: 20 Nanometer --> 2E-08 Meter (Check conversion here)
Nanoparticle Diameter: 300 Nanometer --> 3E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_e = n_e-avg/(1-(3*d_so/D)) --> 50/(1-(3*2E-08/3E-07))

Evaluating ... ...

n_e = 62.5

STEP 3: Convert Result to Output's Unit

62.5 --> No Conversion Required

FINAL ANSWER

62.5 <-- Electron Density

(Calculation completed in 00.006 seconds)

You are here -

Home » Chemistry » Nanomaterials and Nanochemistry » Optical Properties of Metallic Nanoparticles » Electron Density using Average Electron Density and Spill-out Amplitude

Credits

Created by Abhijit gharphalia

national institute of technology meghalaya (NIT Meghalaya), Shillong

Abhijit gharphalia has created this Calculator and 50+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 900+ more calculators!

< Optical Properties of Metallic Nanoparticles Calculators

Volume Fraction using Polarization and Dipole Moment of Sphere

LaTeX Go Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

LaTeX Go Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle

Volume Fraction using Volume of Nanoparticles

LaTeX Go Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material

Volume of Nanoparticles using Volume Fraction

LaTeX Go Volume of Nanoparticle = (Volume Fraction*Volume of Material)/Number of Nanoparticles

Electron Density using Average Electron Density and Spill-out Amplitude Formula

LaTeX Go

Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter))
n_e = n_e-avg/(1-(3*d_so/D))

What is surface plasmon resonance?

Surface Plasmon Resonance (SPR) is an optical phenomenon that occurs when polarized light hits a metal surface at the interface of media with different refractive indices.

How to Calculate Electron Density using Average Electron Density and Spill-out Amplitude?

Electron Density using Average Electron Density and Spill-out Amplitude calculator uses Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)) to calculate the Electron Density, The Electron Density using Average Electron Density and Spill-out Amplitude formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter. Electron Density is denoted by n_e symbol.

How to calculate Electron Density using Average Electron Density and Spill-out Amplitude using this online calculator? To use this online calculator for Electron Density using Average Electron Density and Spill-out Amplitude, enter Average Electron Density (n_e-avg), Spill Out Amplitude (d_so) & Nanoparticle Diameter (D) and hit the calculate button. Here is how the Electron Density using Average Electron Density and Spill-out Amplitude calculation can be explained with given input values -> -50 = 50/(1-(3*2E-08/3E-07)).

FAQ

What is Electron Density using Average Electron Density and Spill-out Amplitude?

The Electron Density using Average Electron Density and Spill-out Amplitude formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter and is represented as n_e = n_e-avg/(1-(3*d_so/D)) or Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). The Average Electron Density is the average of total density of electrons present in a bulk material, The Spill Out Amplitude is the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice & The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.

How to calculate Electron Density using Average Electron Density and Spill-out Amplitude?

The Electron Density using Average Electron Density and Spill-out Amplitude formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter is calculated using Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). To calculate Electron Density using Average Electron Density and Spill-out Amplitude, you need Average Electron Density (n_e-avg), Spill Out Amplitude (d_so) & Nanoparticle Diameter (D). With our tool, you need to enter the respective value for Average Electron Density, Spill Out Amplitude & Nanoparticle Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Electron Density?

In this formula, Electron Density uses Average Electron Density, Spill Out Amplitude & Nanoparticle Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Electron Density = Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3

Home

FREE PDFs

🔍 Search